A quantum walk based search algorithm, and its optical realisation

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QRW search in linear optical network Column of multiports x = 0 x = 1 x = 2 x = 3 x = 4 Consequence Coin at x = 1 differs! non-uniform coin → QRW search Graph topology: hypercube connect: port d of x → port d of x ⊕ 2 d 17 / 26
QRW search in linear optical network Column of multiports x = 0 x = 1 x = 2 x = 3 x = 4 Consequence Coin at x = 1 differs! non-uniform coin → QRW search Graph topology: hypercube connect: port d of x → port d of x ⊕ 2 d Search problem Find the multiport different from the rest! 17 / 26
Page 1 and 2: A quantum walk based search algorit
Page 3 and 4: Quantum walks on graphs Graph G = (
Page 5 and 6: Discrete quantum walk G = (V, E) n-
Page 7 and 8: Applications of QWs Designing effic
Page 9 and 10: Quantum walk on a hypercube hypercu
Page 11 and 12: Spectrum of Grover walk on a hyperc
Page 13 and 14: Proof of principle (sketch) Collaps
Page 15 and 16: Proof of principle (sketch) 2 Treat
Page 17 and 18: Quantum optical realization of SKW
Page 19 and 20: Quantum optical realization of SKW
Page 21: QRW search in linear optical networ
Page 25 and 26: Uniform loss Loss model D(ϱ) = η
Page 27 and 28: Comparison with numerical results M
Page 29 and 30: Direction dependent loss Descriptio
Page 31 and 32: Direction dependent loss Descriptio
Page 33 and 34: Numerical results Second order Tayl
Page 35 and 36: Phase Errors Description F({ϕ}) =
Page 37 and 38: Phase Errors 0.4 Description 0.35 F
Page 39: Conclusions Quantum walks Interesti

A quantum walk based search algorithm, and its optical realisation

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